184x-2x^2=4200

Solution for 184x-2x^2=4200 equation:

Simplifying
184x + -2x2 = 4200

Solving
184x + -2x2 = 4200

Solving for variable 'x'.

Reorder the terms:
-4200 + 184x + -2x2 = 4200 + -4200

Combine like terms: 4200 + -4200 = 0
-4200 + 184x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2100 + 92x + -1x2) = 0

Factor a trinomial.
2((-50 + x)(42 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-50 + x)' equal to zero and attempt to solve:

Simplifying
-50 + x = 0

Solving
-50 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '50' to each side of the equation.
-50 + 50 + x = 0 + 50

Combine like terms: -50 + 50 = 0
0 + x = 0 + 50
x = 0 + 50

Combine like terms: 0 + 50 = 50
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {50, 42}